I am an environmental scientist.  A large part of my career has been dedicated to scientific research into the structure of ecosystems and factors that affect them.  Quite early on, it became apparent that certain mathematical iterative principles formed geometries that coincided exactly with those found in natural ecosystems.  And by ecosystems, I do not mean just plants and animals.  The same principles also apply to quantum physics, geology, meteorology and on up to the formation of galaxies.  These relationships were championed most publicly by the brilliant mathematician Benoît Mandelbrot, the founder of fractal geometry.
To my mind, the structure of natural ecosystems through application of these iterative processes revealed not only the genius and subtlety of nature but also its incomparable beauty.